To solve for x in the equation z=2x−3y, we need to isolate x on one side of the equation. This involves rearranging the equation by performing algebraic operations.
Solution Approach
Add 3y to both sides of the equation to move the y-term to the left side.
Divide both sides by 2 to solve for x.
Step 1: Add 3y to both sides
Starting with the equation:
z=2x−3y
we add 3y to both sides to isolate the term with x:
z+3y=2x
Step 2: Divide both sides by 2
Next, we divide both sides of the equation by 2 to solve for x:
x=2z+3y
Step 3: Substitute the given values
Given z=10 and y=2, we substitute these values into the equation:
x=210+3⋅2
Step 4: Simplify the expression
Simplify the expression to find the value of x:
x=210+6=216=8.0